Deflection by a uniform electric field

Deflection by a uniform electric field
Electric fields can be used to deflect beams of charged particles when the field is applied at a right angle to the path of the beam. Similiar to gravity being able to effect the direction of a projectile applied across the surface of the earth.

The velocity of the beam perpendicular to the electric field would not be effected. The process of deflecting charged particles by electric field is known as electrostatic deflection.

Strenght of a field is equal to E=V/d
When particles move into an electric field of strengh E. E is given by Voltage applied across the two plates divided by d, the seperation of the plates.

The field will have no effect on the horizontal speed of the charges particle as it moves through and will remain the same U little h. Therefore U little h is just the length L divided by the time taken to cross the field.The initial verticle speed of the particle is 0. The particles will follow trajectorys similiar to projectile motion or a bullet or cannon ball.

Acceleration
The acceleration is the forces on each particle divided by its mass and can be worked out by using F=ma and therefore a=F/m. The force on the particle will be given by EQ the Field strenght E times the Charge of the particles, F=EQ. This can be combined with using equations of motion to calculate vertical velocity changes as the particles cross the field.